Question

Launching a missile to hit a target 100 miles away. Determine the launch speed of the missile along with the angle at which it's to be fired. Also, show your work and one of the angle that will work. Finally, assume that the only force acting on the missile is gravity.

Answer 1

recall that the range of an object is

R = v^2/g sin2θ

so, figure some pairs of value that make that 100 miles.

Of course, that formula implies a flat earth, and 100 miles is far enough away that varying gravity and earth's curvature require some modifications.